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Finding the Fourth Proportional to 474.39, 710.42 and 431.24

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Solution

The fourth proportional to 474.39, 710.42 and 431.24 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.39 : 710.42 = 431.24 : x
  2. Step 2: Convert to fraction form
    474.39/710.42 = 431.24/x
  3. Step 3: Cross multiply
    474.39x = 710.42 × 431.24
  4. Step 4: Simplify right side
    474.39x = 306,355.81
  5. Step 5: Solve for x
    x = 306,355.81/474.39
  6. Step 6: Final answer
    x = 645.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.